U4HW1: Classifying Triangles

Classify each triangle by its angles and sides.

Angles:​ (a)  

Sides:​ (b)  

• Obtuse
• Right
• Scalene
• Equilateral
• Equiangular
• Isosceles
• Acute

Classify each triangle by its angles and sides.

Angles:​ (a)  

Sides:​ (b)  

• Right
• Scalene
• Obtuse
• Acute
• Equiangular
• Equilateral
• Isosceles

Classify each triangle by its angles and sides.

Angles:​ (a)  

Sides:​ (b)  

• Obtuse
• Scalene
• Acute
• Right
• Equiangular
• Equilateral
• Isosceles

Classify each triangle by its angles and sides.

Angles:​ (a)  

Sides:​ (b)  

• Equiangular
• Equilateral
• Acute
• Obtuse
• Right
• Scalene
• Isosceles

If QN bisects <PQR and N is the midpoint of PR, classify each triangle by its angles and sides.

ΔPQR

Angles:​ (a)  

Sides:​ (b)  

• Equiangular
• Equilateral
• Acute
• Obtuse
• Right
• Scalene
• Isosceles

If QN bisects <PQR and N is the midpoint of PR, classify each triangle by its angles and sides.

ΔQNP

Angles:​ (a)  

Sides:​ (b)  

• Equiangular
• Equilateral
• Acute
• Obtuse
• Right
• Scalene
• Isosceles

Find the measures of the sides of ΔDEF, then classify it by its sides.

D(8,-6), E(-1,-3), F(-2,5)

• Equilateral

• Isosceles

• Scalene

Find the measures of the sides of ΔJKL, then classify it by its sides.

J(-2,3), K(5,5), L(-4,10)

• Equilateral

• Isosceles

• Scalene

If △JKL is an equilateral triangle, JK = 13x + 5, KL = 17x – 19, and JL = 8x + 35, find the value of x and the measure of each side.

x=​​ (a)   JK=​ (b)   KL=​ (c)   JL=​ (d)  

• 6
• 83
• 2
• 78
• 102
• 48

△CDE is an isosceles triangle with CD ≅ DE. If CD = 9x – 25, DE = 6x + 8, and CE = 10x – 73, find the value of x and the measure of each side.

x=​ (a)   CD=​ (b)   DE=​ (c)   CE=​ (d)  

• 11
• 74
• 37
• 99
• 66
• 110
• 2